Decimal points are sometimes used in hotel room numbers. If you were assigned to room 6.10, where you expect to find it?​

With the use of the percentage concept, it is found that:

a. 18.54% of the survey respondents do not like both hamburgers and burritos. (b). The marginal relative frequency of all customers that like hamburgers is of 0.6049. (c.) The data that has the strongest association of its two factors is liking hamburgers and not liking burritos.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

p=a/b * 100%

Item a:

Out of 205 people, 38 like neither, hence:

This implies that 38/205 * 100 = 18.54%

18.54% of the survey respondents do not like both hamburgers and burritos.

Item b:

The relative frequency is the percentage as a decimal, hence a divided by b.

Out of the 205 participants, 205 - 81 = 124 like hamburgers, hence:

124/205 * 100 = 0.6049

The marginal relative frequency of all customers that like hamburgers is of 0.6049.

Item c:

The table is, considering the totals:

49 - 43

75 - 38

Due to the higher total, the data that has the strongest association of its two factors is liking hamburgers and not liking burritos.

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Answer:The growth rate of the number of bacteria x(t) is given by the equation:

Step-by-step explanation:

The growth rate of the number of bacteria x(t) is given by the equation:

x(t) = 10000me^(-100mt)

This equation is derived from the original equation V = 10000 - 100mt by solving for x(t) and assuming x(0) = 10000*m.

Answer:

p=8

Step-by-step explanation:

-132 = 12p -36

0 = 12p + 96

12p = 96

p = 8

An inequality that represents elevations (p) below -8 meters is p < -8.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Let the variable p represent the elevation of a passage in meters. Therefore, translating the word problem into an inequality, we have the following:

p < -8.

In conclusion, the elevation of a passage (p) in meters is less than negative eight (-8) meters.

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Complete Question:

Let p be the elevation of a passage in meters. Write an inequality that represents elevations below -8 meters

Answer:

True

Step-by-step explanation:

Slope:

The slope of an equation represents how the y value changes as the x values changes, defined as: [tex]\frac{\text{change in y}}{\text{change in x}}[/tex], so the slope of 60 can be represented as: [tex]\frac{60}{1}[/tex], which tells us the amount of water (y-axis) increases by 60 units each hour (x-axis), or in other words, the rate at which the amount of water changes each hour.

Answer:

612

Step-by-step explanation:

567 + ((543 / 543) * 45)

= 612

A different way that you could use to begin to solve the equations problem given is discussed above. I would you visit store {A} over the cost of the given store.

Given are mathematical verbal problems based on equation modelling.

From the first problem, the cost of a single notebook is $3.

Now, consider Store {A}. Assume the cost of a single notebook be {x}. Then, according tot he question -

The cost of 4 notebooks is same as the cost of 3 notebooks and a $2 set of pencils. We can write it as -

The cost of 4 notebooks is same as : (3x + 2)

The cost of 4 notebooks is same as : (3x + 2)

The cost of one notebook will be equal to : (3x + 2)/4

So, we can write -

x = (3x + 2)/4

4x = (3x + 2)

4x - 3x = 2

x = 2

At store {A} the cost of notebook is $2.

Therefore, a different way that you could use to begin to solve the equations problem given is discussed above. I would you visit store {A} over the cost of the given store.

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1,072 feet for Tower A and 326 feet for Tower B.

Height is a measurement of distance from the base of an object to its highest point. It is usually measured in feet and inches (Imperial system) or in meters and centimeters (Metric system). Height is an important factor in many scientific, medical and engineering applications. For example, height is used to calculate the weight and body mass index of a person, to determine the capacity of a container, and to measure the size of a room. Height also plays a role in determining one's social standing, as taller people tend to be seen as more attractive and powerful.

Tower A's height is 1,072 feet and Tower B's height is 326 feet. To solve this problem, the equation 746 + B = 1818 was used, where B is the height of Tower B. Solving the equation yielded a value of 1,072 feet for Tower A and 326 feet for Tower B.

The height of Tower A being more than Tower B can be explained by their respective purposes. Tower A likely serves a higher purpose than Tower B, such as providing a view or providing a broadcasting signal, and therefore requires more height. Tower B, on the other hand, might be used for a less demanding purpose, such as providing a cellular signal, and thus requires less height.

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Multiplying and dividing the negative numbers (-2 × -3) / -4 will be -1.5.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Multiply the first fraction by the reciprocal of the second to divide rational expressions. We factor everything and search for common factors after rewriting the division as multiplication of the first expression by the reciprocal of the second. Separate logical expressions.

In this case, multiply and divide the negative numbers (-2 × -3) / -4 will be:

= (-2 × - 3) / -4

= 6 / -4

= -1.5

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Complete question

multiply and divide the negative numbers (-2 × -3) / -4

She spent $60 on school supplies before the start of the school year, thus the mistake percentage is 16.66666.

A number or ratio that is expressed as a fraction of 100 is known as a percentage in mathematics. There are also sporadic uses of the acronyms "pct.," "pct," and "pc." However, the percent sign "%" is widely used to signify it. There are no dimensions to the percentage amount. Percentages are essentially fractions because they have a numerator of 100. Put the percent sign (%) next to a number to indicate that it is a percentage. For instance, you would score a 75% if you answered 75 out of 100 questions on a test correctly (75/100). Divide the money by the total to get percentages, then multiply the result by 100. The formula (value/total) x 100% is used to determine the percentage.

given

Percent Error =  (Vobserved - Vtrue )/ Vtrue

=  55 - 66 / 66

=  -11 / 66

=  -16.666666666667%

=  16.666666666667% error

She spent $60 on school supplies before the start of the school year, thus the mistake percentage is 16.66666.

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The correct order of the steps is CEABD ⇒ B

In geometry, an angle bisector is a line that divides an angle into two equal angles. The term "bisector" refers to a device that divides an object or a shape into two equal halves. An angle bisector is a ray that divides an angle into two identical segments of the same length.

Let us arrange the figures:-

To construct a bisector of an angle

First: Draw angle AOB

The first step is figure C

Second: Place the pin of the compass on point O and draw an arc that intersects the two sides of the angle OA and OB at points D and E

The second step is figure E

Third: Place the compass on point D and draw an arc in the interior of the angle

The third step is figure A

Fourth: without change, the opening of the compass places its pin on point E and draws an arc that intersects the arc drawn from point D at point C

The fourth step is figure B

Fifth: Draw a line from point A to point C, this line AC is the bisector of angle AOB

The image is attached with the answer below.

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Answer:

18m-20

Step-by-step explanation:

4(3m-2)+3(2m-4)=

12m-8+6m-12=

collect like terms

12m+6m-8-12=

18m-20

The x and the y values of the equation are x = 3 and y = 1

From the question, we have the following parameters that can be used in our computation:

y= -2/3x + 3 and y= 2x - 5

Substitute the known values in the above equation, so, we have the following representation

-2/3x + 3 = 2x - 5

Evaluate the like terms

8/3x = 8

so, we have

x = 3

Also, we have

y = -2/3x + 3

This gives

y = -2/3 * 3 + 3

Evaluate

y = 1

Hence, the solution is x  3 and y = 1

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The length of side x expressed in the simplest radical form with a radical denominator is √36 / √1

The value of length x is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

Information from the question

The direction of movements describes a right angle triangle of

opposite = x

adjacent = √12

The value of x is solved using tan, TOA

tan 60 = Opposite / Adjacent

tan 60 = x / √12

x = √12 tan 60

x = √12 * √3

x = √36

x = 6

the value of x = 6/1 = 6

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The function exists exponential in nature.

The mathematical formula f (x) = [tex]a^{x[/tex] denotes an exponential function. a constant known as the function's base and a variable called x are present. The transcendental number e, roughly equivalent to 2.71828, is the most frequent exponential-function base.

Also referred to as "involving an exponent," the mathematical term exponential means. An example of an exponential increase in a number would be when you raise it to the tenth power.

The ratio of consecutive output terms are constant as shown below:

[tex]$$\begin{array}{r}\frac{4.2}{0.6}=7 \\ \\\frac{29.4}{4.2}=7 \\ \\\frac{205.8}{29.4}=7 \\ \\\frac{1440.6}{205.8}=7\end{array}$$[/tex]

Since, the initial value exists 0.6 and the constant ratio exists 7 , the function can be modeled as:

[tex]$y=0.6(7)^x$$[/tex]

Therefore, the function exists exponential in nature.

The complete question is:

What kind of function best models the data on the table below. Use differences or ratios.

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After 4 weeks they will have studied the same number of hours.

What is algebra?

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Here, we have

Given: Maria and Curtis both study a second language. Maria studies German 3 hours per week, and Curtis studies French 2 hours per week. Curtis has already studied 4 hours when Maria begins her studying.

We have to find out how many weeks will they have studied the same number of hours.

Suppose x weeks they will have studied the same number of hours.

Then,

4 + 2x = 3x

x = 4

Hence,  after 4 weeks they will have studied the same number of hours.

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sin(θ) is negative, cos(θ) is negative and tan(θ) is positive in this range.

What are the quadrants?

The quadrants are the four sections of a coordinate plane that are created by the intersection of the x-axis and y-axis. They are numbered in a counter-clockwise order starting from the top-right as the first quadrant, top-left as the second quadrant, bottom-left as the third quadrant, and bottom-right as the fourth quadrant.

If the terminal ray of a rotation by θ lies in the third quadrant, then

The sine of θ is negative,

The cosine of θ is negative and

The tangent of θ will be positive.

This is because in the third quadrant, the angle θ will be between pi and 3/2*pi

Hence, sin(θ) is negative, cos(θ) is negative and tan(θ) is positive in this range.

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The girls wold have 3 eggs,1 coffee packet and  6 coffee creamers per day.

The girls have 36 eggs, which can be divided into 3 dozen eggs (since 1 dozen = 12 eggs).

For each dozen eggs, they have 4 coffee packets, so they have 4 coffee packets x 3 dozen eggs = 12 coffee packets in total.

For each coffee packet, they have 6 coffee creamers, so they have 6 creamers x 12 coffee packets = 72 coffee creamers in total.

Finally, to find out how many eggs, coffee packets and creamers they can have each morning during the 12-day trip, we divide the total number by 12 days:

3 eggs / 12 days = 3 eggs per day

12 coffee packets / 12 days = 1 coffee packet per day

72 coffee creamers / 12 days = 6 coffee creamers per day.

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The number of movie tickets Mai can buy is 8 movie tickets.

Amount Mai will spend on movie ticket = $36

cost of each movie ticket = $4.50

Division equation:

Number of tickets Mai can buy = Amount Mai will spend on movie ticket / cost of each movie ticket

= $36 / $4.50

= 8 tickets

Multiplication equation:

Amount Mai will spend on movie ticket = Number of tickets Mai can buy × cost of each movie ticket

= 8 × 4.50

= $36

Hence, Mai can buy 8 movie tickets

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The area of a circle is found by using the formula A = πr2, where r is the radius.

Area is a measure of the two-dimensional size of a shape or surface. It is commonly measured in square units, such as square meters or square feet. To calculate the area of a shape, you need to know the length and width of the shape. Area can also refer to the amount of space within a three-dimensional shape, such as a cube or sphere. In this case, the area is measured in cubic units, such as cubic meters or cubic feet.

This means that the area of a circle with a radius of 6 yards is A = π(6)2 = 113.04 yd2. Therefore, the area of the circle with a radius of 6 yards is 113.04 yd2.

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The graph for the inequality -12x-4y<5 is option C.

What is an inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides.

The given inequality expression is -12x-4y<5.

First plot the graph for 12x-4y=5.

The expression has a < symbol which means the graph will have dotted lines.

Now, check does the origin (0,0) satisfy -12x-4y<5.

Substituting the values of x and y -

-12(0) - 4(0) < 5

0 - 0 < 5

0 < 5

Since, the condition is satisfied the region including the origin (0,0) is shaded.

Therefore, the graph is plotted for the expression.

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Answer:

4 and 16

Step-by-step explanation:

difference betwen 22 and 10 is 12 divide that by two and get 6 then add 6 to 10 to get 16 and subtract 6 from 10 to get 4

The required, dimension measured by Kurt would be less than the area of his shape of 18 square units.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
As mentioned in the question,
Kurt found the area of this shape is 18 square units.
If he used a larger unit square, It implies that his measurement would be less than 18 square units. Because are of any it always greater than its individual dimensions.

Thus, the required, dimension measured by Kurt would be less than the area of his shape of 18 square units.

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Answer:

Nata works for 3 days per week.

Step-by-step explanation:

From Monday to Friday, exactly two of them come to work every day, which means that each day one of them is off.

Therefore, the total number of work days for the three of them is 5 days per week * 2 people per day = 10 days per week.

We know that Mary works 3 days per week, and Ana works 4 days per week, which totals 3+4 = 7 days per week. We also know that the total number of work days for all three of them is 10 days per week.

Therefore, Nata works 10 days per week - 7 days per week = 3 days per week.

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Step-by-step explanation:

well, the same principle as for a).

just instead of sine we need to use cosine here.

remember the trigonometric triangle : the up/down leg is sine (multiplied by the radius of the surrounding circle, which is the Hypotenuse of the triangle). and the left/right leg is cosine (multiplied by the Hypotenuse).

so,

12 = 15×cos(x)

cos(x) = 12/15 = 4/5 = 0.8

x = 36.86989765...°

of course, if you prefer, you could use Pythagoras

c² = a² + b²

to get the missing 3rd side, and then use that with sine the same way as for a).

The average speed of the athlete is 225 m/s.

Given is that an athlete runs 400m to the East and then 500m to the West. If the total time of his trip was 4 minutes.

We can write the average speed as -

{s} = (400 + 500)/4 = 900/4 = 225 m/s

Therefore, the average speed of the athlete is 225 m/s.

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{An athlete runs 400 m to the East and then 500 m to the West. If the total time of his trip was 4 minutes, consider the direction to the East as positive, calculate his average speed in m/s.}

Answer:

12/5

Step-by-step explanation:

Convert 3 and 3/5 to an improper fraction, so (5x3)+3 = 18/5.

Now multiply 2/3x18/5

=36/15

Now divide both sides by 3

12/5

I hope this helps.

The best definition of a sample is a part of the population that represents the entire population.

Option B is the correct answer.

It is a small part of a larger group to determine some attributes of the large group.

We have,

The entire population of the group.

This is not a sample.

A part of the population that represents the entire population.

This is a sample.

The difference between the maximum and minimum values observed.

This is range.

A measure of how much the values within a population vary.

This is variance.

Thus,

A part of the population that represents the entire population is a sample.

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Looks like you're not in a test.  :) I can answer your question!

So of course you probably know that anything lower than 0 is a negative number.  So the variable (or unknown number in this case) is "k".  K is less than or equal to -1.  So, -2, -3, -4, -5, -6, and so on, would all fit this inequality.

Hope that helps!  I don't want to give you the answer directly, but hope this helps you solve it.. If it doesn't, just go ahead and click "see solution" or "show example".  ;)